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Unformatted text preview: the state equation in the time domain we can take the L.T. of both sides to obtain which can also be written as where I is the identity matrix 6 We can then solve for the L.T. of the state as Now we also have the output equation which can also be transformed to obtain the L.T. of the output vector Upon substitution of the equation for the L.T. of the state obtains 7 If we are only interested in the response to inputs we can obtain a matrix transfer function where Example Earlier we turned the scalar transfer function into a state space model and found the following matrices 8 Then Its inverse is Note that the denominater is the left hand side of the characteristic equation Also 9...
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 Fall '03
 willcox
 Aeronautics, Laplace, Complex number, state space modeling

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